What is the 8930th prime number?
The 8930th prime number is 92431. The next prime is 92459 (a gap of 28) and the one before is 92419.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 8930th one is 92431.
- 2
92431 is prime because no prime up to ā92431 ā 304.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8930th prime is close to 8930 Ć ln(8930) ā 81238, and here it is 92431.
- 4
92431 has no twin: neither 92429 nor 92433 is prime.
Primes around the 8930th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8927 | 92401 | 2 |
| 8928 | 92413 | 12 |
| 8929 | 92419 | 6 |
| 8930 | 92431 | 12 |
| 8931 | 92459 | 28 |
| 8932 | 92461 | 2 |
| 8933 | 92467 | 6 |
Questions
What is the 8930th prime number?
92431.
Which prime number is 92431?
92431 is the 8930th prime number.
What is the sum of the first 8930 primes?
390,722,473.